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7 articles for “Orthogonality”

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Research ArticleOpen accessEvery word in the titleBirkhoff Orthogonality and Different Particular Cases of Carlsson's Orthogonality on Normed Linear SpacesPrakash Muni Bajracharya, Bhuwan Prasad OjhaLet x, y ∈ X, where X is an inner-product space. We say x is orthogonal to y if ⟨x, y⟩ = 0. When we move to general normed spaces there are many possibilities of extending the notion of orthogonality. Since 1934, different types of orthogonality relations in normed spaces have been introduced and studied. In this study, we enlist … …Journal of Mathematics and Statistics, Vol. 16, Issue 1 · 22 Jul 2020 · 6,271 accessesView PDFCite
Research ArticleOpen accessIn the keywordsPartial Eigenvalue Assignment for High-Order Linear Systems in a Time Delayed SystemEhab A. El-Sayed, Eid E. El BehadyThis paper introduces a solution to the partial eigenvalues assignment problem of high order linear systems with time delayed system in both single-input and multi-input cases using orthogonality relations between eigenvectors of the matrix polynomial. The solution requires the knowledge of only a few eigenvalues and with corresponding left eigenvectors of matrix polynomial. The numerical examples are done to illustrate … …American Journal of Applied Sciences, Vol. 13, Issue 9 · 29 Sep 2016 · 7,003 accessesView PDFCite
Research ArticleOpen accessIn the keywordsON REDUCED SCALAR EQUATIONS FOR SYNCHRONOUS BOOLEAN NETWORKSAli Muhammad Ali Rushdi, Adnan Ahmad AlsogatiA total description of a synchronous Boolean network is typically achieved by a matrix recurrence relation. A simpler alternative is to use a scalar equation which is a possibly nonlinear equation that involves two or more instances of a single scalar variable and some Boolean operator(s). Further simplification is possible in terms of a linear reduced scalar equation which is … …Journal of Mathematics and Statistics, Vol. 9, Issue 3 · 10 Sep 2013 · 6,665 accessesView PDFCite
Research ArticleOpen accessIn the abstractInverse Discrete Fourier Transform-Discrete Fourier Transform Techniques for Generating and Receiving Spectrally Efficient Frequency Division Multiplexing SignalsSahmed IdarwazehProblem statement: Spectrally Efficient Frequency Division Multiplexing (SEFDM) system promises bandwidth savings by multiplexing overlapped non-orthogonal sub-carriers. However, the loss of orthogonality results in increasing the complexity of generation and detection of the signal. In this work, we propose simple framework for the generation of the SEFDM signal based on the Inverse Discrete Fourier Transform (IDFT). Approach: This study further … …American Journal of Engineering and Applied Sciences, Vol. 4, Issue 4 · 31 Jul 2012 · 8,310 accessesView PDFCite
Research ArticleOpen accessIn the abstractAutomatic Palmprint Identification based on High Order Zernike MomentR. Gayathri, P. RamamoorthyProblem statement: Hand geometry contains relatively invariant features of an individual. Palmprint recognition is an efficient biometric solution for authentication system. The existence of several hand-based authentication commercial systems indicates the effectiveness of this type of biometric. Approach: We proposed a palmprint verification system using high order Zernike moment that was robust to rotation, translation and occlusion. Zernike moment was … …American Journal of Applied Sciences, Vol. 9, Issue 5 · 12 Mar 2012 · 7,193 accessesView PDFCite
Research ArticleOpen accessIn the abstractAcoustic Echo Cancellation: Dual Architecture ImplementationB. Stark, B. D. BarkanaProblem statement: With the rise in mobile communication, it is becoming more frequent to use a communication device in an enclosed noisy environment, such as a subway or in a lobby. In this setting however, the received microphone is severely degraded by the echo from the speaker and background noise. The audio processing necessary to clarify the desired speech can … …Journal of Computer Science, Vol. 6, Issue 2 · 28 Feb 2010 · 7,382 accessesView PDFCite
Research ArticleOpen accessIn the abstractMAI Cancellation in DS/CDMA using a new Approach on WDSY. Jabrane, R. Iqdour, B. Ait Es said, N. NajaThe steeping chip weighting waveforms are used in Multiple Access Interference cancellation by emphasizing the received spreading signal, therefore, that allows to solve the problem of orthogonality for the chip waveforms. The goal of this study was to elaborate a useful method based on fuzzy systems to determine the despreading sequences weighted by the steeping chip weighting waveforms for Direct … …American Journal of Applied Sciences, Vol. 4, Issue 10 · 31 Oct 2007 · 6,884 accessesView PDFCite